Color to Grayscale Image Conversion Based on Singular Value Decomposition
Color information is useless for distinguishing significant edges and features in numerous applications. In image processing, a gray image discards much-unrequired data in a color image. The primary drawback of colour-to-grey conversion is eliminating the visually significant image pixels. A current...
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2023-01-01
|
| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/10132453/ |
| _version_ | 1797808451382935552 |
|---|---|
| author | Zaid Nidhal Khudhair Ahmed Nidhal Khdiar Nidhal K. El Abbadi Farhan Mohamed Tanzila Saba Faten S. Alamri Amjad Rehman |
| author_facet | Zaid Nidhal Khudhair Ahmed Nidhal Khdiar Nidhal K. El Abbadi Farhan Mohamed Tanzila Saba Faten S. Alamri Amjad Rehman |
| author_sort | Zaid Nidhal Khudhair |
| collection | DOAJ |
| description | Color information is useless for distinguishing significant edges and features in numerous applications. In image processing, a gray image discards much-unrequired data in a color image. The primary drawback of colour-to-grey conversion is eliminating the visually significant image pixels. A current proposal is a novel approach for transforming an RGB image into a grayscale image based on singular value decomposition (SVD). A specific factor magnifies one of the color channels (Red, Green, and Blue). A vector of three values (Red, Green, Blue) of each pixel in an image is decomposed using SVD into three matrices. The norm of the diagonal matrix was determined and then divided by a specific factor to obtain the grey value of the corresponding pixel. The contribution of the proposed method gives the user high flexibility to produce many versions of gray images with varying contrasts, which is very helpful in many applications. Furthermore, SVD allows for image reconstruction by combining the weighting of each channel with the singular value matrix. This results in a grayscale image that more accurately captures the actual intensity values of the image and preserves more color information than traditional grayscale conversion methods, resulting in loss of color information. The proposed method was compared with a similar method (converting the color image into grayscale) and was found to be the most efficient. |
| first_indexed | 2024-03-13T06:37:42Z |
| format | Article |
| id | doaj.art-0a04490616e44642aae89c7be1cb5339 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-03-13T06:37:42Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-0a04490616e44642aae89c7be1cb53392023-06-08T23:00:41ZengIEEEIEEE Access2169-35362023-01-0111546295463810.1109/ACCESS.2023.327973410132453Color to Grayscale Image Conversion Based on Singular Value DecompositionZaid Nidhal Khudhair0Ahmed Nidhal Khdiar1https://orcid.org/0000-0001-7573-6248Nidhal K. El Abbadi2Farhan Mohamed3https://orcid.org/0000-0002-5298-8642Tanzila Saba4https://orcid.org/0000-0003-3138-3801Faten S. Alamri5https://orcid.org/0000-0003-0312-8731Amjad Rehman6https://orcid.org/0000-0002-3817-2655Faculty of Engineering, School of Computing, University of Technology Malaysia, Johor Bahru, MalaysiaDepartment of Electrical Engineering, Faculty of Engineering, University of Kufa, Najaf, IraqComputer Techniques Engineering Department, Al-Mustaqbal University, Babylon, IraqUTM-IRDA MaGICX, Institute of Human Centered Engineering, Universiti Teknologi Malaysia, Johor Bahru, MalaysiaArtificial Intelligence and Data Analytics Laboratory, College of Computer and Information Sciences (CCIS), Prince Sultan University, Riyadh, Saudi ArabiaDepartment of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi ArabiaArtificial Intelligence and Data Analytics Laboratory, College of Computer and Information Sciences (CCIS), Prince Sultan University, Riyadh, Saudi ArabiaColor information is useless for distinguishing significant edges and features in numerous applications. In image processing, a gray image discards much-unrequired data in a color image. The primary drawback of colour-to-grey conversion is eliminating the visually significant image pixels. A current proposal is a novel approach for transforming an RGB image into a grayscale image based on singular value decomposition (SVD). A specific factor magnifies one of the color channels (Red, Green, and Blue). A vector of three values (Red, Green, Blue) of each pixel in an image is decomposed using SVD into three matrices. The norm of the diagonal matrix was determined and then divided by a specific factor to obtain the grey value of the corresponding pixel. The contribution of the proposed method gives the user high flexibility to produce many versions of gray images with varying contrasts, which is very helpful in many applications. Furthermore, SVD allows for image reconstruction by combining the weighting of each channel with the singular value matrix. This results in a grayscale image that more accurately captures the actual intensity values of the image and preserves more color information than traditional grayscale conversion methods, resulting in loss of color information. The proposed method was compared with a similar method (converting the color image into grayscale) and was found to be the most efficient.https://ieeexplore.ieee.org/document/10132453/Decolorizationgrey imageimage conversionSVDtechnological development |
| spellingShingle | Zaid Nidhal Khudhair Ahmed Nidhal Khdiar Nidhal K. El Abbadi Farhan Mohamed Tanzila Saba Faten S. Alamri Amjad Rehman Color to Grayscale Image Conversion Based on Singular Value Decomposition IEEE Access Decolorization grey image image conversion SVD technological development |
| title | Color to Grayscale Image Conversion Based on Singular Value Decomposition |
| title_full | Color to Grayscale Image Conversion Based on Singular Value Decomposition |
| title_fullStr | Color to Grayscale Image Conversion Based on Singular Value Decomposition |
| title_full_unstemmed | Color to Grayscale Image Conversion Based on Singular Value Decomposition |
| title_short | Color to Grayscale Image Conversion Based on Singular Value Decomposition |
| title_sort | color to grayscale image conversion based on singular value decomposition |
| topic | Decolorization grey image image conversion SVD technological development |
| url | https://ieeexplore.ieee.org/document/10132453/ |
| work_keys_str_mv | AT zaidnidhalkhudhair colortograyscaleimageconversionbasedonsingularvaluedecomposition AT ahmednidhalkhdiar colortograyscaleimageconversionbasedonsingularvaluedecomposition AT nidhalkelabbadi colortograyscaleimageconversionbasedonsingularvaluedecomposition AT farhanmohamed colortograyscaleimageconversionbasedonsingularvaluedecomposition AT tanzilasaba colortograyscaleimageconversionbasedonsingularvaluedecomposition AT fatensalamri colortograyscaleimageconversionbasedonsingularvaluedecomposition AT amjadrehman colortograyscaleimageconversionbasedonsingularvaluedecomposition |